Question

Titan Mining Corporation has 7.3 million shares of common stock outstanding, 265,000 shares of 4.5 percent preferred stock outstanding, and 150,000 bonds with a semiannual coupon rate of 5.4 percent outstanding, par value $2,000 each. The common stock currently sells for $64 per share and has a beta of 1.20, the preferred stock has a par value of $100 and currently sells for $92 per share, and the bonds have 16 years to maturity and sell for 106 percent of par. The market risk premium is 7.4 percent, T-bills are yielding 3.2 percent, and the company’s tax rate is 22 percent.

a.	What is the firm’s market value capital structure? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.)
b.	If the company is evaluating a new investment project that has the same risk as the firm’s typical project, what rate should the firm use to discount the project’s cash flows? (Do not round intermediate calculations enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

  
Debt:

Preferred stock:

Equity:

Discount rate:

Answer 1

a

MV of equity=Price of equity*number of shares outstanding

MV of equity=64*7300000

=467200000

MV of Bond=Par value*bonds outstanding*%age of par

MV of Bond=2000*150000*1.06

=318000000

MV of Preferred equity=Price*number of shares outstanding

MV of Preferred equity=92*265000

=24380000

MV of firm = MV of Equity + MV of Bond+ MV of Preferred equity

=467200000+318000000+24380000

=809580000

Weight of equity = MV of Equity/MV of firm

Weight of equity = 467200000/809580000

W(E)=0.5771

Weight of debt = MV of Bond/MV of firm

Weight of debt = 318000000/809580000

W(D)=0.3928

Weight of preferred equity = MV of preferred equity/MV of firm

Weight of preferred equity = 24380000/809580000

W(PE)=0.0301

b Cost of equity

As per CAPM

Cost of equity = risk-free rate + beta * (Market risk premium)

Cost of equity% = 3.2 + 1.2 * (7.4)

Cost of equity% = 12.08

Cost of debt

K = Nx2

Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2

k=1

K =16x2

2120 =∑ [(5.4*2000/200)/(1 + YTM/200)^k]     +   2000/(1 + YTM/200)^16x2

k=1

YTM = 4.856314936

After tax cost of debt = cost of debt*(1-tax rate)

After tax cost of debt = 4.856314936*(1-0.22)

= 3.78792565008

cost of preferred equity

cost of preferred equity = Preferred dividend/price*100

cost of preferred equity = 4.5/(92)*100

=4.89

WACC=after tax cost of debt*W(D)+cost of equity*W(E)+Cost of preferred equity*W(PE)

WACC=3.79*0.3928+12.08*0.5771+4.89*0.0301

WACC =8.61%